Karhunen-Loéve decomposition of high Reynolds number turbulent pipe flows: A Voronoi analysis

D. Massaro, J. Yao, S. Rezaeiravesh, F. Hussain, P. Schlatter

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


We perform the Karhunen-Loéve decomposition of the data from direct numerical simulations pertaining to incompressible turbulent pipe flow at various Reynolds numbers, in order to identify large-scale coherent structures. A novel approach based on the Voronoi diagram is introduced to estimate the energy distribution along the radial direction as a function of the geometrical properties of the modes. In contrast to previous classifications, no user-defined criterion, threshold or ad-hoc separation of the eddies is required since the two most energetic branches are inherently present as the Reynolds number increases. Details about the Voronoi analysis are provided, together with a comprehensive validation and comparison with previous classifications at low Reynolds numbers. We discuss the results and potential of the presented approach at Reτ = 180 and 5200, commenting on the two classes of coherent structures with a varying and constant size in the radial direction appearing at Reτ = 5200.

Original languageEnglish
Title of host publicationJournal of Physics: Conference Series
Subtitle of host publication5th Madrid Turbulence Workshop 29/05/2023 - 30/06/2023
Publication statusPublished - 29 May 2024
Event5th Madrid Summer School on Turbulence Workshop - Madrid, Spain
Duration: 29 May 202330 Jun 2023

Publication series

NameJournal of Physics: Conference Series
PublisherIOP Publishing Ltd
ISSN (Print)1742-6588


Conference5th Madrid Summer School on Turbulence Workshop


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